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Finding the Fourth Proportional to 4,909.09, 6,774.60 and 2,671

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Solution

The fourth proportional to 4,909.09, 6,774.60 and 2,671 is: 3,686.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.09 : 6,774.60 = 2,671 : x
  2. Step 2: Convert to fraction form
    4,909.09/6,774.60 = 2,671/x
  3. Step 3: Cross multiply
    4,909.09x = 6,774.60 × 2,671
  4. Step 4: Simplify right side
    4,909.09x = 18,094,956.60
  5. Step 5: Solve for x
    x = 18,094,956.60/4,909.09
  6. Step 6: Final answer
    x = 3,686.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.